These days they're more like micro country club memberships
Stallman Was Right
Nobody listens to him. But he was right all along.
-> "access rental"?
Pretty much, modern subscriptions are leases/rentals.
ETA: some at least are like the traditional method of subscription, such as Humblebundle's choice that lets you redeem your game well after you cancel.
But are the games you redeem even yours?
The whole idea of licensing access to a game/software is another topic entirely.
To give the spiel on my thoughts: A purchase of a "perpetual license" like on Steam is not exactly yours, unless you can play it Offline without restriction. Which means you may need to use a Goldberg crack.
Legal arguments may differ, but in my view your purchase receipt represents your right to use that software, but if it relies on continuous connection to Steam features (e.g. Friends list, cloud saves, re-downloading games later after purchase) or third party services (e.g. Anticheat, matchmaking servers, leaderboards, mod distribution, updaters), your continued access to those services for free is in exchange for you complying to their rules, and can be revoked if you contravene them. Steamworks is DRM like anything, but if it is possible to play without it then it's "yours", is how I summarize it.
Last time I've got something on Steam, the receipt literally said "Thank you for your subscription".
Well I bought something today, it did say "Thank you for your purchase", for what it's worth.
Check the PDF in your email (if they're still doing that). But maybe they've changed it back. It's been years since I've used Steam.
Steamworks is DRM like anything, but if it is possible to play without it then it’s “yours”, is how I summarize it.
Since we're in a community about events making us (regrettably) admit that Stallman was right, I don't think freedom 0 alone is enough for the concept of ownership.